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                [Usaco2008 Feb]Making the Grade 路面修整                </h1>
                <p>时间限制：10s&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;  空间限制：162MB</p>			</div>
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                                <h3>题目描述</h3><p><p><span style="font-size: medium">FJ打算好好修一下农场中某条凹凸不平的土路。按奶牛们的要求，修好后的路面高度应当单调上升或单调下降，也就是说，高度上升与高度下降的路段不能同时出现在修好的路中。 整条路被分成了N段，N个整数A_1, ... , A_N (1 &lt;= N &lt;= 2,000)依次描述了每一段路的高度(0 &lt;= A_i &lt;= 1,000,000,000)。FJ希望找到一个恰好含N个元素的不上升或不下降序列B_1, ... , B_N，作为修过的路中每个路段的高度。由于将每一段路垫高或挖低一个单位的花费相同，修路的总支出可以表示为： |A_1 - B_1| + |A_2 - B_2| + ... + |A_N - B_N| 请你计算一下，FJ在这项工程上的最小支出是多少。FJ向你保证，这个支出不会超过2^31-1。 </span></p></p><hr/><h3>输入格式</h3><p><p><span style="font-size: medium">* 第1行: 输入1个整数：N * 第2..N+1行: 第i+1行为1个整数：A_i </span></p></p><hr/><h3>输出格式</h3><p><p><span style="font-size: medium">* 第1行: 输出1个正整数，表示FJ把路修成高度不上升或高度不下降的最小花费 </span></p></p><hr/><h3>样例输入</h3><pre>7
1
3
2
4
5
3
9

</pre><hr/><h3>样例输出</h3><pre>3

</pre><hr/><h3>提示</h3><p><p><span style="font-size: medium">FJ将第一个高度为3的路段的高度减少为2，将第二个高度为3的路段的高度增加到5，总花费为|2-3|+|5-3| = 3，并且各路段的高度为一个不下降序列 1,2,2,4,5,5,9。 </span></p></p><hr/><h3>题目来源</h3><p>Gold</p>
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